EIGENVALUES AND EIGENVECTORS IN THE RADIOSITY CONTEXT
Date
1997-05-01
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Abstract
The convergence of iterative methods used to solve the radiosity system of
linear equations depends on the distribution of the eigenvalues of the
radiosity coefficient matrix. In this paper we prove that all eigenvalues
of the radiosity coefficient matrix are real and positive. This fact may
allow us to obtain fast radiosity solutions using the knowledge about the
spectrum of the matrix. Moreover, the physical meaning of the eigenvectors
in global illumination applications is an open problem in graphics. In order
to contribute to the clarification of this question, we present some
experiments based on the theory of matrices, in which we show interesting
features of using eigenvectors as solution vectors in graphic settings.
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Computer Science